To determine the correct answer regarding the logic gate represented in Figure 1, we need to understand the characteristics and functions of the different types of logic gates mentioned in the options: AND, NAND, NOR, and OR gates.
Step-by-Step Explanation
- Understanding Logic Gates:
- AND Gate: This gate outputs true (1) only if all its inputs are true (1). The truth table for an AND gate is:
- Input A = 0, Input B = 0 → Output = 0
- Input A = 0, Input B = 1 → Output = 0
- Input A = 1, Input B = 0 → Output = 0
- Input A = 1, Input B = 1 → Output = 1
- NAND Gate: This gate is the opposite of the AND gate. It outputs false (0) only if all its inputs are true (1). The truth table is:
- Input A = 0, Input B = 0 → Output = 1
- Input A = 0, Input B = 1 → Output = 1
- Input A = 1, Input B = 0 → Output = 1
- Input A = 1, Input B = 1 → Output = 0
- NOR Gate: This gate outputs true (1) only if all its inputs are false (0). The truth table is:
- Input A = 0, Input B = 0 → Output = 1
- Input A = 0, Input B = 1 → Output = 0
- Input A = 1, Input B = 0 → Output = 0
- Input A = 1, Input B = 1 → Output = 0
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OR Gate: This gate outputs true (1) if at least one of its inputs is true (1). The truth table is:
- Input A = 0, Input B = 0 → Output = 0
- Input A = 0, Input B = 1 → Output = 1
- Input A = 1, Input B = 0 → Output = 1
- Input A = 1, Input B = 1 → Output = 1
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Identifying the Gate:
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To identify the gate in Figure 1, we would typically look at its symbol. Each gate has a unique symbol:
- The AND gate symbol has a flat input side and a pointed output side.
- The NAND gate symbol looks like the AND gate but has a small circle (representing NOT) at the output.
- The NOR gate symbol has a similar shape to the OR gate but also has a small circle at the output.
- The OR gate symbol has a curved input side and a pointed output side.
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Correct Option:
- If the logic gate in Figure 1 is identified as a NAND gate, then the correct answer is B. NAND gate. This means that the gate outputs false only when both inputs are true.
Why Other Options Are Incorrect:
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A. AND Gate: This option is incorrect because an AND gate outputs true only when both inputs are true, which does not match the behavior of a NAND gate.
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C. NOR Gate: This option is incorrect because a NOR gate outputs true only when both inputs are false, which is not the case for a NAND gate.
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D. OR Gate: This option is incorrect because an OR gate outputs true if at least one input is true, which is the opposite of the NAND gate's behavior.
Common Pitfalls:
- Confusing the symbols of NAND and AND gates due to their similar shapes.
- Misremembering the truth tables, especially for NAND and NOR gates, as they are often confused with their AND and OR counterparts.
Revision Summary:
- NAND Gate: Outputs false only when all inputs are true.
- AND Gate: Outputs true only when all inputs are true.
- NOR Gate: Outputs true only when all inputs are false.
- OR Gate: Outputs true if at least one input is true.
By understanding the definitions and truth tables of these gates, you can accurately identify them in diagrams and answer related questions correctly.